Sean Dyche insisted it was a hard point gained, not two dropped, as Manchester United again stormed back from two goals down to snatch a dramatic draw.
For the second season running, the Clarets roared into a two-goal lead through clinical second half goals from hard-working strike duo Ashley Barnes and Chris Wood.
However, with the clock running down, Paul Pogba stroked home an 87th minute penalty, and deep into stoppage time Victor LIndelof drove a dagger through Burnley hearts with an equaliser.
“I’m definitely delighted, not disappointed,” said the Clarets boss.
“We know about all the positive noises coming out of Manchester United at the moment following their fine run of results.
“It’s a tough place to come anyway, but particularly when they are on a roll, so to come and deliver that performance and get a result is pleasing overall.”
Barnes fired high into the net six minutes after the restart to stun Old Trafford, and Wood found the bottom corner with a delicate header nine minutes from time to put Burnley in dreamland.
However, Jeff Hendrick was penalised for a hand on Jesse Lingard’s shoulder to hand United a lifeline from the spot.
And when Heaton saved well from Sanchez’s 92nd minute header, Lindelof rifled the ball home from point-blank range to earn an unlikely point.
Dyche added: “I have very few frustrations, but how you can touch someone on the shoulder and their legs suddenly don’t work is amazing.
“But that’s the modern game and I’m the only one going on about it, so I have to live with that.
“We also had five minutes of added-on time, which is beyond me.
“I don’t know where that came from, and the reason I mention that is that it gave the crowd an energy and that gave the players a lift.
“We all know what ‘Fergie Time’ means in these parts and suddenly they had a renewed energy about them.
“The margins are tight and we had a big decision go against us at Watford, with an onside goal disallowed for offside, and tonight, when Sanchez heads the ball on, Lindelof is marginally offside and ends up scoring.
“But, beyond all that I saw a very good performance against a very, very good side.”
Dyche added: “In the first half, particularly, a lot of our forward play was very good and the two centre forwards were excellent, particularly in the first 60 minutes.
“Behind them, I can’t really fault anyone. Some people question Jeff (Hendrick), but he plays all over the place and gets on with it every single time, without question. He accepts the role, drives on and delivers.
“Dwight was good again and Westy and Corky are beginning to get that connection again.
"The back four were resolute and strong and Tom, behind that, showed assuredness.
“There were a lot of good signs, but you know me; I want more.
“We have been building back towards what we can be. I think everyone can see that.
"Suddenly, we are five unbeaten and very close to being five wins, not just three wins and a draw.
“A couple of decisions and who knows?
"But more generally I’m happy with the signs and I spoke to the players afterwards about continuing that resilience and mentality and we’ve made a strong marker of that lately.”